About this book
This textbook offers students with a basic understanding of group theory a preview of several interesting groups they would not typically encounter until later in their academic careers. By presenting these advanced concepts at this stage, they will gain a deeper understanding of the subject and be motivated to explore more of it.
Groups covered include Thompson’s groups, self-similar groups, Lamplighter groups, and Baumslag-Solitar groups. Each chapter focuses on one of these groups, and begins by discussing why they are interesting, how they originated, and why they are important mathematically. A collection of specific references for additional reading, topics for further research, and exercises are included at the end of every chapter to encourage students’ continued education.
With its accessible presentation and engaging style, A Sampling of Remarkable Groups is suitable for students in upper-level undergraduate or beginning graduate abstract algebra courses. It will also be of interest to researchers in mathematics, computer science, and related fields.
- Book Title A Sampling of Remarkable Groups
- Book Subtitle Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar
- Series Title Compact Textbooks in Mathematics
- Series Abbreviated Title Compact Textbooks in Mathematics
- DOI https://doi.org/10.1007/978-3-030-01978-5
- Copyright Information Springer Nature Switzerland AG 2018
- Publisher Name Birkhäuser, Cham
- eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
- Softcover ISBN 978-3-030-01976-1
- eBook ISBN 978-3-030-01978-5
- Series ISSN 2296-4568
- Series E-ISSN 2296-455X
- Edition Number 1
- Number of Pages XII, 188
- Number of Illustrations 157 b/w illustrations, 13 illustrations in colour
Group Theory and Generalizations
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“This delightful book is dedicated to introducing an advanced undergraduate student to the study of some aspects of infinite groups theory. … The whole book is enriched with beautiful and instructive illustrations.” (Enrico Jabara, zbMATH 1446.20001, 2020)